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Finding the Third Proportional to 15,428 and 23,216

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Solution

The third proportional to 15,428 and 23,216 is: 34,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428 : 23,216 = 23,216 : x
  2. Step 2: Convert to fraction form
    15,428/23,216 = 23,216/x
  3. Step 3: Cross multiply
    15,428x = 23,216 × 23,216
  4. Step 4: Simplify right side
    15,428x = 538,982,656
  5. Step 5: Solve for x
    x = 538,982,656/15,428
  6. Step 6: Final answer
    x = 34,935.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.